the mean serum cholestrol level for US adults was 202, with a standard deviation of 41.6 (the units are milligrams per deciliter). A simple random sample of 112 adults is chosen.
What is the probability taht the sample mean cholesterol level is greater than 212?
.Solution :
= / n = 41.6 / 112
The probability that the sample mean cholesterol level is greater than 212 is,
P( > 212) = 1 - P( < 212)
= 1 - P[( - ) / < (212 - 202) / ] 41.6 / 112
= 1 - P(z < 5.544)
= 0.0055
Probability = 0.0055
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